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22061414264144 = 24172315722461407
BaseRepresentation
bin1010000010000100100101…
…10000101010110101010000
32220010001100220002020001112
411001002102300222311100
510342423234022423034
6114530512423552452
74434612261116513
oct501022260526520
986101326066045
1022061414264144
117036214237522
122583796bbb728
13c404c82a9478
14563ac7346d7a
15283d048277ce
hex141092c2ad50

22061414264144 has 80 divisors (see below), whose sum is σ = 47526901797888. Its totient is φ = 9867205810176.

The previous prime is 22061414264081. The next prime is 22061414264171. The reversal of 22061414264144 is 44146241416022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10248512 + ... + 12212895.

Almost surely, 222061414264144 is an apocalyptic number.

It is an amenable number.

22061414264144 is an abundant number, since it is smaller than the sum of its proper divisors (25465487533744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22061414264144 is a wasteful number, since it uses less digits than its factorization.

22061414264144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22461612 (or 22461606 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

The spelling of 22061414264144 in words is "twenty-two trillion, sixty-one billion, four hundred fourteen million, two hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 157 184 272 314 368 391 628 782 1256 1564 2512 2669 3128 3611 5338 6256 7222 10676 14444 21352 28888 42704 57776 61387 122774 245548 491096 982192 22461407 44922814 89845628 179691256 359382512 381843919 516612361 763687838 1033224722 1527375676 2066449444 3054751352 3526440899 4132898888 6109502704 7052881798 8265797776 8782410137 14105763596 17564820274 28211527192 35129640548 56423054384 59949495283 70259281096 81108140677 119898990566 140518562192 162216281354 239797981132 324432562708 479595962264 648865125416 959191924528 1297730250832 1378838391509 2757676783018 5515353566036 11030707132072 22061414264144